Paul's bill, “Preventing Executive Overreach on Immigration Act,” is companion legislation to a House bill passed last week from Rep. Ted Yoho (R-Fla.)

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The Kentucky Republican's proposal, posted on his website Friday, prohibits the president from using discretion when determining who to deport.

"I believe that the Constitution is clear that the legislative power resides in Congress," Paul said in a statement. "The President is not a king and he does not have the power to enact laws then execute his own laws. Our Constitution is being violated by this executive order and other actions by the Obama Administration to govern by executive fiat.”

Yoho's bill passed last week in a 219-197 vote, the House's first direct action against Obama’s executive actions on immigration.